| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Study Plan | Study plan - Grade 8 | Info | Go |
|
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
||||
| 2 | Percentages | One Quantity as a Percentage of Another | Info | Go |
|
Objective: To determine what one quantity is as a percentage of another |
||||
| 3 | Percentages | Calculating Percentages and Fractions of Quantities | Info | Go |
|
Objective: To find percentages and fractions of quantities and solve problems with percentages |
||||
| 4 | Indices/Exponents | Adding indices when multiplying terms with the same base | Info | Go |
|
Objective: To add indices when multiplying powers that have the same base |
||||
| 5 | Indices/Exponents | Subtracting indices when dividing terms with the same base | Info | Go |
|
Objective: To subtract indices when dividing powers of the same base |
||||
| 6 | Indices/Exponents | Terms raised to the power of zero | Info | Go |
|
Objective: To evaluate expressions where quantities are raised to the power 0 |
||||
| 7 | Indices/Exponents | Negative Indices | Info | Go |
|
Objective: To evaluate or simplify expressions containing negative indices |
||||
| 8 | Indices/Exponents | Fractional Indices | Info | Go |
|
Objective: To evaluate or simplify expressions containing fractional indices |
||||
| 9 | Indices/Exponents | Complex fractions as indices | Info | Go |
|
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals |
||||
| 10 | Standard/Scientific notation | Scientific notation with larger numbers | Info | Go |
|
Objective: To write large numbers in standard or scientific notation |
||||
| 11 | Standard/Scientific notation | Scientific notation with small numbers | Info | Go |
|
Objective: To write small numbers in standard or scientific notation |
||||
| 12 | Standard/Scientific notation | Changing scientific notation to numerals | Info | Go |
|
Objective: To interpret scientific notation by writing in base 10 numerals |
||||
| 13 | Algebra - Basic | Simplifying Algebraic Expressions: Combining Addition and Subtraction | Info | Go |
|
Objective: To simplify expressions containing addition and subtraction and two unlike terms |
||||
| 14 | Algebra - Basic | Simplifying Algebraic Expressions: Multiplication | Info | Go |
|
Objective: To simplify algebraic products using (but not stating) the commutative law |
||||
| 15 | Algebra - Basic | Simplifying Algebraic Expressions: Division | Info | Go |
|
Objective: To divide algebraic terms where the divisor is a factor of the dividend |
||||
| 16 | Algebra - Basic | Expanding Algebraic Expressions: multiplication | Info | Go |
|
Objective: To remove grouping symbols from an expression where the multiplier is monomial |
||||
| 17 | Algebra - Basic | Expanding Algebraic Expressions: Negative multiplier | Info | Go |
|
Objective: To expand parentheses when there is a negative multiplier |
||||
| 18 | Algebra - Basic | Expanding and simplifying algebraic expressions | Info | Go |
|
Objective: To expand and simplify algebraic expressions involving grouping symbols |
||||
| 19 | Algebra - Basic | Solving Equations containing Addition and Subtraction | Info | Go |
|
Objective: To solve one-step equations involving addition or subtraction |
||||
| 20 | Algebra - Basic | Solving Equations containing Multiplication and Division | Info | Go |
|
Objective: To solve one-step equations involving multiplication or division |
||||
| 21 | Algebra - Basic | Solving Two-Step Equations | Info | Go |
|
Objective: To solve two-step equations without division in the initial problem |
||||
| 22 | Statistics part 1 | Frequency distribution table | Info | Go |
|
Objective: To construct a frequency distribution table for raw data and to interpret the table |
||||
| 23 | Statistics part 1 | Frequency histograms and polygons | Info | Go |
|
Objective: To construct and interpret frequency histograms and polygons |
||||
| 24 | Statistics part 1 | The Range | Info | Go |
|
Objective: To determine the range of data in either raw form or in a frequency distribution table |
||||
| 25 | Statistics part 1 | The Mode | Info | Go |
|
Objective: To find the mode from raw data and from a frequency distribution table |
||||
| 26 | Statistics part 1 | The Mean | Info | Go |
|
Objective: To calculate means from raw data and from a frequency table using an fx column |
||||
| 27 | Statistics part 1 | The Median | Info | Go |
|
Objective: To determine the median of a set of raw scores |
||||
| 28 | Probability | Simple events | Info | Go |
|
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S) |
||||
| 29 | Probability | Experimental probability | Info | Go |
|
Objective: To find the experimental probabilities of an experimental trial |
||||
| 30 | Pythagoras | Pythagoras' Theorem: Finding the Hypotenuse | Info | Go |
|
Objective: To calculate the length of a hypotenuse using Pythagoras' Theorem |
||||
| 31 | Pythagoras | Using Pythagorean Triples to Identify Right Triangles | Info | Go |
|
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras' Theorem |
||||
| 32 | Pythagoras | Calculating the Hypotenuse of a right-angled Triangle | Info | Go |
|
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals |
||||
| 33 | Pythagoras | Calculating a Leg of a right-angled Triangle | Info | Go |
|
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras' Theorem |
||||
| 34 | Geometry part 1 | Adjacent Angles | Info | Go |
|
Objective: To recognise and calculate the size of adjacent angles |
||||
| 35 | Geometry part 1 | Complementary and Supplementary Angles | Info | Go |
|
Objective: To recognise and calculate the size of complementary and supplementary angles |
||||
| 36 | Geometry part 1 | Vertically Opposite Angles | Info | Go |
|
Objective: To determine values of pronumerals in vertically opposite angles |
||||
| 37 | Geometry part 1 | Angles at a Point | Info | Go |
|
Objective: To use angles at a point to calculate unknown angles |
||||
| 38 | Geometry part 1 | Parallel Lines | Info | Go |
|
Objective: To identify angle pairs and calculate angles formed by a transversal and parallel lines |
||||
| 39 | Geometry part 1 | Additional questions involving parallel lines | Info | Go |
|
Objective: To determine angle magnitude for angles formed by parallel lines and transversals |
||||
| 40 | Geometry part 1 | Geometric Constructions | Info | Go |
|
Objective: To bisect a line, bisect an angle and construct a perpendicular using a compass and ruler |
||||
| 41 | Geometry part 3 | Angles | Info | Go |
|
Objective: To label and classify angles and calculate pronumeral values within angles |
||||
| 42 | Geometry part 3 | Angle Bisector Construction and its Properties | Info | Go |
|
Objective: To geometrically bisect angles and calculate angle size given bisection |
||||
| 43 | Matrices | Special Transformations: Reflections, Rotations and Enlargements | Info | Go |
|
Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication |
||||
| 44 | Co-ordinate geometry part 1 | The Gradient | Info | Go |
|
Objective: To find the gradient of a line given its angle of inclination or given rise and run |
||||
| 45 | Co-ordinate geometry part 1 | The Gradient Formula | Info | Go |
|
Objective: To use the gradient formula to find the gradient of straight lines |
||||
| 46 | Co-ordinate geometry part 1 | The Straight Line | Info | Go |
|
Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b |
||||
| 47 | Co-ordinate geometry part 1 | Lines Through the Origin | Info | Go |
|
Objective: To state the equation of lines passing through the origin and to graph y = mx |
||||
| 48 | Co-ordinate geometry part 1 | General Form of a Line and the x and y Intercepts | Info | Go |
|
Objective: To write linear equations in general form, to find the x and y intercepts and to calculate area |
||||
| 49 | Co-ordinate geometry part 1 | Slope Intercept Form of a Line | Info | Go |
|
Objective: To change equation to slope intercept form and graph it and to find equation given graph |
||||
| 50 | Co-ordinate geometry part 1 | Point Slope Form of a Line | Info | Go |
|
Objective: To find the equation of a line given its slope and a point on the line (y-y1) = m(x-x1) |
||||
| 51 | Algebra - Basic | Inequalities | Info | Go |
|
Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign |
||||
| 52 | Co-ordinate geometry part 2 | Inequalities on the Number Plane | Info | Go |
|
Objective: To identify the graph which matches a given inequality |
||||
| 53 | Logic | Inductive and Deductive Reasoning | Info | Go |
|
Objective: To identify and use inductive and deductive reasoning |
||||
| 54 | Function | Functions and Relations: domain and range | Info | Go |
|
Objective: To identify and represent functions and relations |
||||
| 55 | Function | Function Notation | Info | Go |
|
Objective: To write and evaluate functions using function notation |
||||
| 56 | Algebra - Products and factors | Binomial Products | Info | Go |
|
Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b) |
||||
| 57 | Algebra - Products and factors | Binomial products with negative multiplier | Info | Go |
|
Objective: To expand and simplify monic binomial products of the form (x - a)(x +/- b) |
||||
| 58 | Algebra - Products and factors | Binomial Products (nonmonic) | Info | Go |
|
Objective: To expand and simplify nonmonic binomial products |
||||
| 59 | Algebra - Products and factors | Squaring a Binomial (monic) | Info | Go |
|
Objective: To expand the square of a binomial by multiplication and by inspection |
||||
| 60 | Algebra - Products and factors | Squaring a Binomial (nonmonic) | Info | Go |
|
Objective: To expand the square of a nonmonic binomial by inspection |
||||
| 61 | Algebra - Products and factors | Expansions Leading to the Difference of Two Squares | Info | Go |
|
Objective: To expand the product of conjugate binomials leading to differences of squares |
||||
| 62 | Algebra - Products and factors | Products in Simplification of Algebraic Expressions | Info | Go |
|
Objective: To simplify algebraic expressions containing binomial products |
||||
| 63 | Algebra - Products and factors | Larger Expansions | Info | Go |
|
Objective: To expand and simplify the product of a binomial and a trinomial |
||||
| 64 | Algebra - Products and factors | Highest Common Factor | Info | Go |
|
Objective: To factorise an expression by identifying and extracting the highest common factor |
||||
| 65 | Algebra - Products and factors | Factors by Grouping | Info | Go |
|
Objective: To factorise a four-term expression by grouping |
||||
| 66 | Algebra - Products and factors | Difference of Two Squares | Info | Go |
|
Objective: To factorise differences of two squares |
||||
| 67 | Algebra - Products and factors | Common factor and the difference of two squares | Info | Go |
|
Objective: On completion of the lesson the student will be aware of common factors and recognize the difference of two squares. |
||||
| 68 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 1 | Info | Go |
|
Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive. |
||||
| 69 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 2 | Info | Go |
|
Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative. |
||||
| 70 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 3 | Info | Go |
|
Objective: On completion of the lesson the student will have an increased knowledge on factorizing quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative. |
||||
| 71 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 4 | Info | Go |
|
Objective: On completion of the lesson the student will understand how to factorize all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative. |
||||
| 72 | Algebra - Products and factors | Factorisation of nonmonic quadratic trinomials | Info | Go |
|
Objective: To factorise nonmonic quadratic trinomials using the 'X' method |
||||
| 73 | Algebra - Products and factors | Factorisation of nonmonic quadratic trinomials: Moon method | Info | Go |
|
Objective: To factorise nonmonic quadratic trinomials using the 'Moon' method |
||||
| 74 | Measurement - Advanced volume | Volume of a Cylinder and Sphere | Info | Go |
|
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each |
||||
| 75 | Measurement - Advanced volume | Volume of Pyramids and Cones | Info | Go |
|
Objective: To calculate the volumes of pyramids and cones |
||||
| 76 | Measurement - Advanced volume | Composite Solids | Info | Go |
|
Objective: To calculate the volume of composite figures using appropriate formulae |
||||
| 77 | Surface area | Surface Area of a Triangular/Trapezoidal Prism | Info | Go |
|
Objective: To calculate the surface area of triangular and trapezoidal prisms |
||||
| 78 | Surface area | Surface Area of a Cylinder and Sphere | Info | Go |
|
Objective: To calculate the surface area of cylinders and spheres |
||||
| 79 | Exam | Exam - Grade 8 | Info | Go |
|
Objective: Exam |
||||
Join today and have your whole family enjoy the benefits that only a great educational product can deliver. With a 14-day Money Back Guarantee you can't afford not to join!Enquiry form
Simply fill out our enquiry form with any questions or suggestions you may have. Our friendly staff is more
than keen to answer any question you have regarding
our learning system or general questions. Enquiry form